The locus of the center of the circle touching the line `2x-y=1` at `(1,1)` is (a)`x+3y=2` (b) `x+2y=2` (c)`x+y=2` (d) none of these

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

The locus fo the center of the circles such that the point (2,3) is the midpoint of the chord 5x+2y=16 is (a)x-5y+11=0 (b) 2x+5y-11=0( c) 2x+5y+11=0 (d) none of these

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

The equation of the locus of the middle point of a chord of the circle x^(2)+y^(2)=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2( b) x-y=22x-y=1( d ) none of these

The locus of the centre of the circle passing through (1,1) and cutting x^2 + y^2 = 4 orthogonally is : (A) x+y=3 (B) x+2y=3 (C) 2x+y=3 (D) 2x-y=3

The locus of centre of circle which touches the circle x^(2)+y^(2)=1 and y- axis in 1 st quadrant is

Find the locus of the center of the circle touching the circle x^(2)+y^(2)-4y-2x=4 internally and tangents on which from (1,2) are making of 60^(@) with each other.

If the line y=x+c touches the ellipse 2x^(2)+3y^(2)=1 then c=